A car travelling at 20 km per hour speeds up to 60 km per hour in 6 se...
**Acceleration Calculation:**
To calculate the acceleration of the car, we can use the formula:
Acceleration (a) = (Final Velocity (v) - Initial Velocity (u)) / Time (t)
**Given Data:**
- Initial Velocity (u) = 20 km/h
- Final Velocity (v) = 60 km/h
- Time (t) = 6 seconds
**Converting Units:**
Before calculating the acceleration, we need to convert the velocities from km/h to m/s, as the SI unit for velocity is meters per second.
1 km/h = 1000 m/3600 s = 5/18 m/s
So, the initial velocity (u) becomes:
u = 20 km/h * (5/18) m/s = 100/18 m/s ≈ 5.56 m/s
And the final velocity (v) becomes:
v = 60 km/h * (5/18) m/s = 300/18 m/s ≈ 16.67 m/s
**Calculating Acceleration:**
Now, we can substitute the values into the acceleration formula:
a = (v - u) / t
a = (16.67 m/s - 5.56 m/s) / 6 s
a = 11.11 m/s / 6 s
a ≈ 1.85 m/s²
Therefore, the acceleration of the car is approximately 1.85 m/s².
**Explanation:**
Acceleration is the rate of change of velocity. In this scenario, the car starts with an initial velocity of 20 km/h and speeds up to a final velocity of 60 km/h in 6 seconds.
To calculate the acceleration, we used the formula a = (v - u) / t, where v is the final velocity, u is the initial velocity, and t is the time taken.
First, we converted the initial and final velocities from km/h to m/s to match the SI unit. Then, we substituted the values into the formula. By subtracting the initial velocity from the final velocity and dividing it by the time taken, we obtained the acceleration.
In this case, the car's acceleration is approximately 1.85 m/s². This means that for every second the car travels, its velocity increases by 1.85 meters per second.
Acceleration is a crucial concept in physics and is used to describe how objects change their velocity over time. It helps us understand the motion of objects and is fundamental to many areas of science and engineering.
A car travelling at 20 km per hour speeds up to 60 km per hour in 6 se...
U=20km/h=5.56m/sv=60km/h=16.67m/st=6secsa=v-u/t =(16.67-5.56)/6=11.11/6=1.851m/s^2UPvote if that helps:)(Actually kr hi diyo bari mehnat se type kiya h)
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